Search a number
-
+
741463920 = 243257314107
BaseRepresentation
bin101100001100011…
…101011101110000
31220200012021021200
4230030131131300
53004303321140
6201324051200
724242224251
oct5414353560
91820167250
10741463920
1135059a8aa
12188393b00
13ba7c9362
147068cb28
1545163030
hex2c31d770

741463920 has 120 divisors (see below), whose sum is σ = 2524372656. Its totient is φ = 195001344.

The previous prime is 741463913. The next prime is 741463969. The reversal of 741463920 is 29364147.

741463920 is a `hidden beast` number, since 7 + 4 + 14 + 639 + 2 + 0 = 666.

741463920 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 45507 + ... + 59613.

Almost surely, 2741463920 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 741463920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1262186328).

741463920 is an abundant number, since it is smaller than the sum of its proper divisors (1782908736).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

741463920 is a wasteful number, since it uses less digits than its factorization.

741463920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14199 (or 14190 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 741463920 is about 27229.8351078371. The cubic root of 741463920 is about 905.1002280049.

The spelling of 741463920 in words is "seven hundred forty-one million, four hundred sixty-three thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 73 80 90 120 144 146 180 219 240 292 360 365 438 584 657 720 730 876 1095 1168 1314 1460 1752 2190 2628 2920 3285 3504 4380 5256 5840 6570 8760 10512 13140 14107 17520 26280 28214 42321 52560 56428 70535 84642 112856 126963 141070 169284 211605 225712 253926 282140 338568 423210 507852 564280 634815 677136 846420 1015704 1029811 1128560 1269630 1692840 2031408 2059622 2539260 3089433 3385680 4119244 5078520 5149055 6178866 8238488 9268299 10157040 10298110 12357732 15447165 16476976 18536598 20596220 24715464 30894330 37073196 41192440 46341495 49430928 61788660 74146392 82384880 92682990 123577320 148292784 185365980 247154640 370731960 741463920